Finding the Third Proportional to 33,438 and 50,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 50,164.50 = 50,164.50 : x
2. Step 2: Convert to fraction form
   33,438/50,164.50 = 50,164.50/x
3. Step 3: Cross multiply
   33,438x = 50,164.50 × 50,164.50
4. Step 4: Simplify right side
   33,438x = 2,516,477,060.25
5. Step 5: Solve for x
   x = 2,516,477,060.25/33,438
6. Step 6: Final answer
   x = 75,258.00